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Finding the Fourth Proportional to 341,370.72, 471,016.20 and 198,047.76

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Solution

The fourth proportional to 341,370.72, 471,016.20 and 198,047.76 is: 273,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,370.72 : 471,016.20 = 198,047.76 : x
  2. Step 2: Convert to fraction form
    341,370.72/471,016.20 = 198,047.76/x
  3. Step 3: Cross multiply
    341,370.72x = 471,016.20 × 198,047.76
  4. Step 4: Simplify right side
    341,370.72x = 93,283,703,333.71
  5. Step 5: Solve for x
    x = 93,283,703,333.71/341,370.72
  6. Step 6: Final answer
    x = 273,262.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.